Grey incidence decision-making method of grey hesitant fuzzy sets based on kernel and grey degree

Firstly, this paper expands hesitant fuzzy into grey hesitant fuzzy sets; Secondly, the “kernel and grey degree” method of grey systems is used instead of the data supplement method that traditionally presupposes the risk preferences of decision-makers. It enhances reliability on the premise of maintaining the information domain; Then we extended the “kernel and grey degree” algorithm to the decision making process of grey relational grade. Finally, an example is given to demonstrate the feasibility and applicability of this method, we study and analyze it, and we compare it with related methods in the literature. This research has a positive effect of extending the application scope of grey systems, enriching and improving the theory system of the grey correlation model.